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Define a variable and write an equation for each real-world problem

Part 1)

Part 2)  

Part 3)

Part 4)

Part 5)

Part 6)

Part 7) see the explanation

Part 8) see the explanation

Step-by-step explanation:

Part 1)

Let

x ----> the amount that Jackson spent on his lunch

we know that

The amount that Jackson spent on his lunch plus $2.25 is equal to the amount that Matt spent on his lunch

so

The linear equation that represent this situation is

Part 2)

Let

s ----> the number of seats in gymnasium

we know that

The number of seats in gymnasium minus 112 is equal to the number of seats in auditorium

so

The linear equation that represent this situation is

Part 3)

Let

w ----> the number of weeks

we know that

The number of weeks multiplied by $25 per week must be equal to $600

so

The linear equation that represent this situation is

Part 4)

Let

d -----> distance that Carolyn ran

we know that

One fourth the distance that Carolyn ran is equal to the distance that Erin ran

so

The linear equation that represent this situation is

Part 5)

Let

h ----> the number of hours worked at the grocery store

we know that

The number of hours worked multiplied by $7.25 per hour must be equal to $87

so

The linear equation that represent this situation is

Part 6)

Let

x -----> Emilio's savings

we know that

One half of Emilio's savings is equal to $63.75

so

The linear equation that represent this situation is

Part 7) we have

Let

x ----> the number of hours

Real world problem

Ben earns $14 per hour in the forex market. In how many hours he will have earned $21?

Part 8) we have

Let

y---->  the amount that Carlos spent on his dinner

Real world problem

Mark spent $85 on his dinner. This is $20 more than his friend Carlos spent on his dinner. How much did Carlos spent on his dinner?

366

step-by-step explanation:

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles